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Page 1: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

6-5 Trapezoids and KitesM11.C.1 2.9.11.CObjectives:1) To verify and use properties of trapezoids

and kites.

Page 2: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

Trapezoid PropertiesThe parallel sides are its bases,

and the nonparallel sides its legs. Two angles that share a base of a trapezoid are base angles.

Page 3: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

TheoremThe base angles of an isosceles

trapezoid are congruent.

Page 4: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

ExampleXYZW is an isosceles trapezoidm∠X = 156°m∠Ym∠Zm∠W

Page 5: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

TheoremsThe diagonals of

an isosceles trapezoid are congruent.

The diagonals of a kite are perpendicular.

Page 6: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

ExampleIsosceles trapezoid ABCD has diagonal AC and BD. AC = x + 5 and BD = 2x – 13. Find x.

Page 7: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

ExampleFind m∠1, m∠2 and m∠3

Page 8: 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites

HomeworkPage 322 #1-6, 8-16, 20-25

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